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Finding the Fourth Proportional to 731.64, 1,010.35 and 470.11

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Solution

The fourth proportional to 731.64, 1,010.35 and 470.11 is: 649.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    731.64 : 1,010.35 = 470.11 : x
  2. Step 2: Convert to fraction form
    731.64/1,010.35 = 470.11/x
  3. Step 3: Cross multiply
    731.64x = 1,010.35 × 470.11
  4. Step 4: Simplify right side
    731.64x = 474,975.64
  5. Step 5: Solve for x
    x = 474,975.64/731.64
  6. Step 6: Final answer
    x = 649.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.